On the sensitivity and relaxability of optimal control problems governed by nonlinear evolution equations with state constraints

DOI10.1016/0362-546X(91)90210-RzbMath0766.49024OpenAlexW1998542646MaRDI QIDQ5966662

Evgenios P. Avgerinos, Nikolaos S. Papageorgiou

Publication date: 27 September 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(91)90210-r

zbMATH Keywords

sensitivitystate constraintsperturbationpenalizationnonlinear evolution equationsseparable Hilbert spaceseparable Banach spacerelaxed controlrelaxabilityLagrange typenonlinear, distributed parameter optimal control problemstrongly calm problem

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Optimality conditions for problems involving partial differential equations (49K20)

Cites Work

• Continuous selections. I
• Optimal control of nonlinear evolution inclusions
• Admissible relaxation in variational and control problems
• A general denseness result for relaxed control theory
• Optimization and nonsmooth analysis
• Properties of the Relaxed Trajectories of Evolution Equations and Optimal Control
• Lower Semicontinuity of Integral Functionals with Nonconvex Integrands by Relaxation-Compactification
• Intersection of moving convex sets in a normed space.
• Survey of Measurable Selection Theorems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the sensitivity and relaxability of optimal control problems governed by nonlinear evolution equations with state constraints